70481664000 has 1152 divisors, whose sum is σ = 290198039040. Its totient is φ = 16920576000.

The previous prime is 70481663999. The next prime is 70481664007. The reversal of 70481664000 is 46618407.

70481664000 is a `hidden beast` number, since 7 + 0 + 4 + 8 + 1 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×70481664000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70481664007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 684287949 + ... + 684288051.

It is an arithmetic number, because the mean of its divisors is an integer number (251908020).

Almost surely, 2^70481664000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70481664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145099019520).

70481664000 is an abundant number, since it is smaller than the sum of its proper divisors (219716375040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70481664000 is a wasteful number, since it uses less digits than its factorization.

70481664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 70481664000 in words is "seventy billion, four hundred eighty-one million, six hundred sixty-four thousand".